Question

Determine the points of continuity of f(x)=1/x-1

Answer 1

Answer:

I assume you mean points of discontinuity and so the answer is  x = 0

Step-by-step explanation:

A point of discontinuity is one that occurs when the value of a function coming from one side is not equal to the value when you approach it from the right.

$\lim_{x \to a^{+} } f(x) \neq \lim_{x \to a^{-} } f(x)$

So taking values near zero, but greater than it and values of x near zero but less than it. We observe the following graph (Attached)

I take your question to be (1/x) - 1. If 1/(x-1) then point of discontinuity is x = 1. The logic is same.